It’s a good question, but I’m not sure we can really answer it, at least not in the terms of movies showing up on Enterprise as mentioned in the OP.
See, the film industry, such as it is, is barely a hundred years old. Nickolodeons and flickers were an early-20th-century innovation that were considered nothing more than a passing distraction for the masses by cultural mavens; it wasn’t until Griffith and Chaplin and other innovators came along that the movie started being taken with anything resembling seriousness.
So if you date the advent of what we consider memorable filmmaking not from the technological work of Edison and the Lumieres before 1910 but rather a few years later, consider that some people are still alive from that period. Given the grand sweep of history, cinema is still in its infancy, having grown up along with the technological and information revolutions.
Thus I’m not sure anyone can reasonably predict what might happen over the next hundred years. Perhaps some totally unexpected invention may revolutionize presentational storytelling, like high-fidelity three-dimensional holographic projection or VR-style brain taps or something nobody has thought of yet. If that happens, our “flat” movies will become museum pieces for specialists the same way silent movies have (unfairly) become today: we know about them, but hardly anybody bothers with them outside the circles of hard-core cognoscenti.
Of course, you can say that about any of our transient art forms nowadays, not just movies. In a hundred years, will I Love Lucy and The Dick Van Dyke Show still be available on channel 5387? Probably, if you go searching. How about Seinfeld or E/R? Maybe. Murder She Wrote? Matlock? Fresh Prince of Bel Air? The Rockford Files? Who knows?
And in a hundred years, people will probably still be listening to Frank Sinatra. How about Pearl Jam?
So, yeah, it’s a good question, but I think it’s wide open to speculation, more so than is immediately apparent.